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Finding the Fourth Proportional to 1,375.11, 2,063.01 and 497.70

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Solution

The fourth proportional to 1,375.11, 2,063.01 and 497.70 is: 746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.11 : 2,063.01 = 497.70 : x
  2. Step 2: Convert to fraction form
    1,375.11/2,063.01 = 497.70/x
  3. Step 3: Cross multiply
    1,375.11x = 2,063.01 × 497.70
  4. Step 4: Simplify right side
    1,375.11x = 1,026,749.76
  5. Step 5: Solve for x
    x = 1,026,749.76/1,375.11
  6. Step 6: Final answer
    x = 746.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.